Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 247 · 40 questions

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

1. 1.What is the smallest number you must add to 128 to make it divisible by 5? (a) 2 (b) 4 (c) 1 (d) 3
2. 2.If 6 October is a Tuesday, what day of the week is 19 October? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
3. 3.What is the value of the digit 3 in 76.348? (a) 0.003 (b) 0.03 (c) 3 (d) 0.3
4. 4.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 26 min (b) 168 min (c) 2 min (d) 84 min
5. 5.What is the average of all the whole numbers from 38 to 58? (a) 10 (b) 48 (c) 49 (d) 20
6. 6.Which fraction is greater: 1/3 or 9/10? (a) 1/3 (b) They are equal (c) 9/10
7. 7.What is 40% of 40? (a) 16 (b) 160 (c) 32 (d) 24
8. 8.What is the remainder when 258 is divided by 4? (a) 1 (b) 2 (c) 3 (d) 0
9. 9.4.95 + 6.1 = ? (a) 11.15 (b) 10.95 (c) 5.56 (d) 11.05
10. 10.₹7000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹7420 (b) ₹7560 (c) ₹420 (d) ₹7140
11. 11.Which fraction is greater: 5/8 or 2/11? (a) They are equal (b) 2/11 (c) 5/8
12. 12.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 6 : ? (a) 12 (b) 138 (c) 216 (d) 24
13. 13.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 32 sq cm (d) 24 sq cm
14. 14.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 75 (b) 150 (c) 40 (d) 375
15. 15.What is 4/9 of 27? (a) 12 (b) 3 (c) 13 (d) 15
16. 16.Which is the smallest: 0.78, 0.027, 0.7, 0.639? (a) 0.78 (b) 0.027 (c) 0.7 (d) 0.639
17. 17.If 2 March is a Monday, what day of the week is 15 March? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
18. 18.A teacher has 14 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 7 (c) 14 (d) 42
19. 19.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 64 cm (c) 20 cm (d) 40 cm
20. 20.What is the simple interest on ₹3000 at 2% per year for 2 years? (a) ₹60 (b) ₹3120 (c) ₹120 (d) ₹180
21. 21.Which fraction is greater: 3/4 or 2/5? (a) They are equal (b) 2/5 (c) 3/4
22. 22.Every pair follows the same rule: 3 : 7, 4 : 14, 6 : 34. What is 5 : ? (a) 23 (b) 24 (c) 22 (d) 9
23. 23.1.97 + 7.1 = ? (a) 9.07 (b) 8.97 (c) 2.68 (d) 9.17
24. 24.2/3 + 7/9 = ? (a) 4/3 (b) 13/9 (c) 3/4 (d) 14/9
25. 25.What is the average of all the whole numbers from 17 to 41? (a) 12 (b) 24 (c) 30 (d) 29
26. 26.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 13 sq cm (c) 26 sq cm (d) 40 sq cm
27. 27.Which of these numbers is divisible by 4? (a) 3125 (b) 3133 (c) 3128 (d) 3129
28. 28.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 26 sq cm (c) 22 sq cm (d) 13 sq cm
29. 29.Two ribbons are 16 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 4 cm (c) 8 cm (d) 48 cm
30. 30.A bag marked ₹660 is sold at a 25% discount. What is its selling price? (a) ₹635 (b) ₹495 (c) ₹165 (d) ₹825
31. 31.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 29 cm (d) 60 cm
32. 32.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 87 (b) 31 (c) 30 (d) 42
33. 33.5.91 + 7.8 = ? (a) 6.69 (b) 13.81 (c) 13.71 (d) 13.61
34. 34.Today is Friday. What day of the week will it be after 88 days? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
35. 35.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
36. 36.What is 1/2 of 18? (a) 18 (b) 8 (c) 9 (d) 10
37. 37.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 26 (b) 43 (c) 5 (d) 22
38. 38.₹279 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹186 (b) ₹31 (c) ₹155 (d) ₹124
39. 39.If 2 pens cost ₹6, how much do 9 pens cost? (a) ₹13 (b) ₹54 (c) ₹30 (d) ₹27
40. 40.Which fraction is greater: 5/11 or 1/3? (a) 1/3 (b) 5/11 (c) They are equal

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad